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Finding the Third Proportional to 161,694 and 350,388

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Solution

The third proportional to 161,694 and 350,388 is: 759,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,694 : 350,388 = 350,388 : x
  2. Step 2: Convert to fraction form
    161,694/350,388 = 350,388/x
  3. Step 3: Cross multiply
    161,694x = 350,388 × 350,388
  4. Step 4: Simplify right side
    161,694x = 122,771,750,544
  5. Step 5: Solve for x
    x = 122,771,750,544/161,694
  6. Step 6: Final answer
    x = 759,284.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.